The price of a shirt is first increased by 15% and then decreased by 12%, and again increased by 8%. Find the net increase or decrease percentage (correct to one decimal place) in the price of the shirt.
The price of a shirt is first increased by 15% and then decreased by 12%, and again increased by 8%. Find the net increase or decrease percentage (correct to one decimal place) in the price of the shirt.
एक शर्ट की कीमत में पहले 15% की वृद्धि हुई और फिर 12% की कमी हुई, और एक बार फिर 8% की वृद्धि हुई। शर्ट की कीमत में निवल वृद्धि या कमी प्रतिशत ( दशमलव के एक स्थान तक सही) ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
Decrease of 10.6% / 10.6 की कमी
Let the original price of the shirt be
After 15% increase: $ P_1 = P(1 + 0.15) = 1.15P $
After 12% decrease: $ P_2 = P_1(1 - 0.12) = 1.15P \times 0.88 = 1.012P $
After 8% increase: $ P_3 = P_2(1 + 0.08) = 1.012P \times 1.08 \approx 1.09296P $
Net increase % = $\frac{P_3 - P}{P} \times 100 = (1.09296 - 1) \times 100 \approx 9.3% $
Ans = 9.3%
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